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| | bartoszmilewski.com
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| | This is part 9 of Categories for Programmers. Previously: Functoriality. See the Table of Contents. So far I've been glossing over the meaning of function types. A function type is different from other types. Take Integer, for instance: It's just a set of integers. Bool is a two element set. But a function type a->b...
| | www.jeremykun.com
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| | Previously in this series we've seen the definition of a category and a bunch of examples, basic properties of morphisms, and a first look at how to represent categories as types in ML. In this post we'll expand these ideas and introduce the notion of a universal property. We'll see examples from mathematics and write some programs which simultaneously prove certain objects have universal properties and construct the morphisms involved.
| | jdh.hamkins.org
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| | I have been reading Alan Turing's paper, On computable numbers, with an application to the entsheidungsproblem, an amazing classic, written by Turing while he was a student in Cambridge. This...
| | www.lesswrong.com
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| A community blog devoted to refining the art of rationality